You have just timed a person doing a haircut for the first time. It took 50 minutes. What unit improvement factor learning curve would you use if the person took 35 minutes on the second haircut?
A) 35 percent
B) 50 percent
C) 70 percent
D) 75 percent
E) 80 percent

Question

Quizplus · Accepted Answer

The unit improvement factor learning curve formula is Y = aX^b, where Y is time per unit, X is number of units produced, a is the time for the first unit, and b is the slope of the curve.

We can use the formula to solve for b:

35 = 50 * (2^-b)
0.7 = 2^-b
log(0.7) = log(2^-b)
log(0.7) = -b * log(2)
b = -log(0.7) / log(2)
b ≈ 0.5146

Therefore, the unit improvement factor is approximately 70%, which is answer choice C.

You Have Just Timed a Person Doing a Haircut for the First